Question: Show that the set of complex numbers x + i y forms a real vector space under the operations of addition (x + iy) +

Show that the set of complex numbers x + i y forms a real vector space under the operations of addition (x + iy) + (w + i v) = (x + u) + i (y + v) and scalar multiplication c(x + iy) = cx + i cy. (But complex multiplication is not a real vector space operation.)

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